A binary tree is a hierarchical data structure in which each node has at most two children, referred to as the left child and the right child. It is used in various applications such as expression parsing, binary search trees, and heaps, making it fundamental for efficient data storage and retrieval operations.

Binary Tree

binary tree

A hierarchical data structure is an organizational model where data elements are arranged in a tree-like structure, with a single root and multiple levels of nested nodes. This structure is efficient for representing relationships with a clear parent-child hierarchy, making it ideal for applications like file systems and organizational charts.

hierarchical data structure

In computer science, a 'node' is a fundamental part of data structures like linked lists, trees, and graphs, representing a single entity or data point that contains a value and potentially links to other nodes. Nodes are crucial for organizing and managing complex data relationships, enabling efficient data traversal and manipulation in various algorithms and applications.

node

left child

In binary tree data structures, the 'right child' is the node directly connected to and descending from another, the parent node, on the right side. Understanding the concept of a right child is crucial for navigating binary trees, as it helps define the structure's balance, traversal patterns, and hierarchy.

right child

Expression parsing is the process of analyzing a sequence of tokens to determine its grammatical structure with respect to a given formal grammar. It is crucial in the implementation of compilers and interpreters, enabling the translation of high-level programming code into executable machine code or intermediate representations.

expression parsing

A Binary Search Tree (BST) is a node-based data structure where each node has at most two children, satisfying the property that for any given node, all nodes on the left subtree have smaller values, and all nodes on the right have larger values. This property allows for efficient searching, insertion, and deletion operations, making BSTs a fundamental part of many algorithms and applications involving hierarchical data storage.

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